Acz\'elian n-ary semigroups
Rings and Algebras
2012-08-06 v2 Functional Analysis
Abstract
We show that the real continuous, symmetric, and cancellative n-ary semigroups are topologically order-isomorphic to additive real n-ary semigroups. The binary case (n=2) was originally proved by Acz\'el (1949); there symmetry was redundant.
Cite
@article{arxiv.1107.4989,
title = {Acz\'elian n-ary semigroups},
author = {Miguel Couceiro and Jean-Luc Marichal},
journal= {arXiv preprint arXiv:1107.4989},
year = {2012}
}